009B Sample Midterm 2, Problem 3

A particle moves along a straight line with velocity given by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle v(t)=-32t+200}

feet per second. Determine the total distance traveled by the particle

from time $t=0$ to time Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t=10.}

Foundations:

Solution:

Step 1:

Step 2:

Final Answer:

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